State and explain newton's law of gravitation establus relation between g and G
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Explanation:
G stands for Newton's universal gravitational constant, whereas g stands for the acceleration due to gravity at a certain point.
G = 6.67300 × 10-11 N/m^2.kg^-2. G is a constant throughout space and time.
g = 9.8 m/s^-2. g is a variable quantity.
G is a scalar quantity whereas g is a vector quantity.
(According to Newton's law of universal gravitation the force of attraction between two bodies is given by F = GMm/r^2, where the symbols stand for their usual well known meanings. Also the weight of a body of mass m is F = mg.
So mg = GMm/r^2,
or g = GM/r^2
g is a constant at a given location, which depends upon M and r.
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